416416640 has 64 divisors (see below), whose sum is σ = 1005320160. Its totient is φ = 164923392.

The previous prime is 416416621. The next prime is 416416657. The reversal of 416416640 is 46614614.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 416416597 and 416416606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62762 + ... + 69078.

Almost surely, 2^416416640 is an apocalyptic number.

416416640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502660080).

416416640 is an abundant number, since it is smaller than the sum of its proper divisors (588903520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416416640 is a wasteful number, since it uses less digits than its factorization.

416416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 416416640 is about 20406.2892266085. The cubic root of 416416640 is about 746.7513651084.

The spelling of 416416640 in words is "four hundred sixteen million, four hundred sixteen thousand, six hundred forty".